458 citations · 1.4k across the 32 of their papers we have counts for
4 papers · 1 filter
Variational system identification of the partial differential equations governing pattern-forming physics: Inference under varying fidelity and noise
Zhenlin Wang, Xun Huan, Krishna Garikipati
We present a contribution to the field of system identification of partial differential equations (PDEs), with emphasis on discerning between competing mathematical models of patte…
Entropy-based closure for probabilistic learning on manifolds
C. Soizea, R. Ghanem, C. Safta +7
In a recent paper, the authors proposed a general methodology for probabilistic learning on manifolds. The method was used to generate numerical samples that are statistically cons…
Embedded Model Error Representation for Bayesian Model Calibration
Khachik Sargsyan, Xun Huan, Habib N. Najm
Model error estimation remains one of the key challenges in uncertainty quantification and predictive science. For computational models of complex physical systems, model error, al…
Compressive sensing adaptation for polynomial chaos expansions
Panagiotis Tsilifis, Xun Huan, Cosmin Safta +5
Basis adaptation in Homogeneous Chaos spaces rely on a suitable rotation of the underlying Gaussian germ. Several rotations have been proposed in the literature resulting in adapta…